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Finding the Fourth Proportional to 31,506.50, 43,485.24 and 18,086.78

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Solution

The fourth proportional to 31,506.50, 43,485.24 and 18,086.78 is: 24,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.50 : 43,485.24 = 18,086.78 : x
  2. Step 2: Convert to fraction form
    31,506.50/43,485.24 = 18,086.78/x
  3. Step 3: Cross multiply
    31,506.50x = 43,485.24 × 18,086.78
  4. Step 4: Simplify right side
    31,506.50x = 786,507,969.13
  5. Step 5: Solve for x
    x = 786,507,969.13/31,506.50
  6. Step 6: Final answer
    x = 24,963.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.